Valhalla Legends Forums Archive | Spht's Forum | Finding the Inverse of a Multivariable Function

AuthorMessageTime
rabbit
Okay, so, one day in my math class I got really bored, and I wrote up this equation:
http://www.liquid-server.org/images/-pictures-63bb1c697f340f0559a1fc85e4da12da_1161299204.gif

Now, over the next few days, utilizing the awesomeness of my green pen, I calculated f(7,3,5,31) = 6.  What I [s]want[/s]need now is to find the inverse of this function within its constraints, though I'm not sure how to start.  Got any ideas?
October 19, 2006, 11:11 PM
UserLoser
[img]http://forums.clubrsx.com/images/smilies/offtopic.gif[/img]
October 20, 2006, 4:08 AM
Topaz
You hit the wrong forum
October 20, 2006, 4:52 AM
rabbit
.....................holy shit.  That was stupid.  Who feels like moving this?
October 20, 2006, 11:19 AM
Rule
Your function takes N[sup]4[/sup] --> R.  For a function to have an inverse, it must be a bijective mapping from its domain to its codomain.  Obviously that is not the case with your function.  Imagine how many input combinations could lead to the number "6" as output.  Now try and think of what the pre-image of "6" would look like.

October 21, 2006, 10:49 PM
rabbit
x, y, and z are all reduced mod N, so technically it's self limiting.  I was kind of hoping I could at least find some kind of inverse, at least from [0, n) :\
October 22, 2006, 12:40 AM

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